What is the solution set for 16.5 ≥ 1.25x + 12.75?

Question

Responses

A x ≤ -3x ≤ -3

B x ≥ -3x ≥ -3

C x ≥ 3x ≥ 3

D x ≤ 3

Answer 1

To solve the inequality 16.5 ≥ 1.25x + 12.75, we need to isolate the variable x.

First, we subtract 12.75 from both sides of the inequality:

16.5 - 12.75 ≥ 1.25x
3.75 ≥ 1.25x

Next, we divide both sides of the inequality by 1.25:

3.75/1.25 ≥ x
3 ≥ x

So, the solution set for the inequality is x ≤ 3.

Therefore, the correct answer is option D: x ≤ 3.